If x is greater than 7, you use the bottom equation. If X is in between -4 and 7 or equal to 7, use the first equation.
Part A: x is -3 so we use the first equation
X + 7 = ?
-3 + 7 = 4
Part B: again first equation
0 + 7 = 7
Part C:
4 + 7 = 11
Part D:
7 + 7 = 14
Part E: 10 is greater than 7. Use second equation.
-x^2 - 1 = ?
-(10^2) - 1
-100 - 1 = -101